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repeating decimal::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | circulating decimal, recurring decimal |
| Type of | decimal, decimal fraction |
Examples of repeating decimal
repeating decimal
In arithmetic, repeating decimal is a way of representing a rational number.
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Given a repeating decimal, it is possible to calculate the fraction that produced it.
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The preferred way to indicate a repeating decimal is to place a bar over the digits that repeat.
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In other words the numbers with eventually repeating decimal expansions are exactly the rational numbers.
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Your recent edits to repeating decimal prompt some comments.
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This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.
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Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.
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Moreover, any repeating or terminating decimal represents a rational number.
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A decimal representation written with a repeating final 0 is said to terminate before these zeros.
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